Minimal Model Holography for SO(2N)

Abstract

A duality between the large N 't Hooft limit of the WD_N minimal model CFTs and a higher spin gravity theory on AdS3 is proposed. The gravity theory has massless spin fields of all even spins s=2,4,6,..., as well as two real scalar fields whose mass is determined by the 't Hooft parameter of the CFT. We show that, to leading order in the large N limit, the 1-loop partition function of the higher spin theory matches precisely with the CFT partition function.

21 pages, LaTeX

References in corpus (5)

• Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields
• Nonlinear W(infinity) Algebra as Asymptotic Symmetry of Three-Dimensional Higher Spin Anti-de Sitter Gravity
• Symmetries of Holographic Minimal Models
• Higher Spins in AdS and Twistorial Holography
• Quantum W-symmetry in AdS_3

Cited by in corpus (51)

• Cubic Vertices for Symmetric Higher-Spin Gauge Fields in $(A)d{S}_d$
• Large N=4 Holography
• Higher spin AdS_3 supergravity and its dual CFT
• Duality in N=2 minimal model holography
• Extended higher spin holography and Grassmannian models
• N=1 supersymmetric higher spin holography on AdS_3
• The Coset Spin-4 Casimir Operator and Its Three-Point Functions with Scalars
• Supersymmetric holography on AdS3
• W Symmetry and Integrability of Higher spin black holes
• Even spin minimal model holography
• Limits of minimal models and continuous orbifolds
• Light States in Chern-Simons Theory Coupled to Fundamental Matter
• N=1 extension of minimal model holography
• Three point functions in higher spin AdS_3 supergravity
• The Large N 't Hooft Limit of Kazama-Suzuki Model
• Instanton R-matrix and W-symmetry
• Symmetries of Holographic Super-Minimal Models
• On the coset duals of extended higher spin theories
• Conical Defects in Higher Spin Theories
• Three-Point Functions in N=2 Higher-Spin Holography
• A note on conical solutions in 3D Vasiliev theory
• Conical defects and N=2 higher spin holography
• Black holes in Truncated Higher Spin AdS${}_3$ Gravity
• The Primary Spin-4 Casimir Operators in the Holographic SO(N) Coset Minimal Models
• Conical Defects, Black Holes and Higher Spin (Super-)Symmetry
• Higher Spin Currents in the N=1 Stringy Coset Minimal Model
• Higher Spin Currents with Arbitrary N in the N=1 Stringy Coset Minimal Model
• The $\mathcal{N}=1$ algebra ${\mathcal{W}}_{\infty }[\mu ]$ and its truncations
• Rectangular W-(super)algebras and their representations
• The Continuous Orbifold of N=2 Minimal Model Holography
• The Operator Product Expansion of the Lowest Higher Spin Current at Finite N
• Higher Spin Currents in the N=2 Stringy Coset Minimal Model
• Spin-5 Casimir Operator and Its Three-Point Functions with Two Scalars
• Higher Spin Currents in the Holographic N=1 Coset Minimal Model
• Sub-AdS Scale Locality in AdS${}_3$/CFT${}_2$
• Higher Spin Currents in Wolf Space for Generic N
• Higher Spin Currents in Orthogonal Wolf Space
• Rectangular W-algebras of types $so(M)$ and $sp(2M)$ and dual coset CFTs
• Higher-spin gauge theories in three spacetime dimensions
• The Next $16$ Higher Spin Currents and Three-Point Functions in the Large $\mathcal{N}=4$ Holography
• Three Point Functions in the N=4 Orthogonal Coset Theory
• Even spin $\mathcal{N}=4$ holography
• ABJ Theory in the Higher Spin Limit
• On even spin $W_{\infty }$
• Symmetry Algebras of Stringy Cosets
• Conformal embeddings and higher-spin bulk duals
• Higher Spin Currents in the Orthogonal Coset Theory
• The Higher Spin Rectangle
• The Operator Product Expansions in the $\mathcal{N}=4$ Orthogonal Wolf Space Coset Model
• The Grassmannian-like Coset Model and the Higher Spin Currents
• Operator dependence and robustness of spacetime-localized response in a quantum critical spin chain